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Finding the Fourth Proportional to 2,870.10, 4,305.02 and 1,021.23

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Solution

The fourth proportional to 2,870.10, 4,305.02 and 1,021.23 is: 1,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.10 : 4,305.02 = 1,021.23 : x
  2. Step 2: Convert to fraction form
    2,870.10/4,305.02 = 1,021.23/x
  3. Step 3: Cross multiply
    2,870.10x = 4,305.02 × 1,021.23
  4. Step 4: Simplify right side
    2,870.10x = 4,396,410.47
  5. Step 5: Solve for x
    x = 4,396,410.47/2,870.10
  6. Step 6: Final answer
    x = 1,531.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.